a(n) = floor(sqrt(Fibonacci(n+1)) - sqrt(Fibonacci(n))).

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =1a(9) =1a(10) =2a(11) =2a(12) =3a(13) =4a(14) =5a(15) =6a(16) =8a(17) =10a(18) =13a(19) =17a(20) =22a(21) =28a(22) =36a(23) =46a(24) =58a(25) =74a(26) =94a(27) =120a(28) =153a(29) =195